Spinning
Particle Models| Spinning
Particle Models |
Non-Relativistic, Classical > s.a. [classical
particles]; classical
systems.
@ References: Thomas Nat(26)apr;
Bruce qp/01 [spin-1/2,
Hamiltonian];
Rivas phy/01-in
[generalized
Lagrangian], JPA(03)phy/01 [spinning e];
Salesi IJMPA(05)qp/04
[and Zitterbewegung]; Recami & Salesi FP(07)qp/05 [from
arbitrary-order Lagrangians, and
chronons].
Relativistic, Classical > s.a. dirac
fields; reissner-nordström spacetime; Thomas
Precession; twistors.
* 1998: The motion
of spinning particles in gravitational fields is still not well understood;
Look
for clarification
in gravitomagnetism.
* Equations of motion:
In the monopole-dipole
approximation, they are
dua/d
= va , Dpa/D =
–
Rabcd vb S cd , DS ab/D = pa vb – pb va ,
where va, pa,
and S ab are the velocity,
momentum, and spin tensor of the particle; In general, va and pa are
not parallel, and one must use an additional condition to fix pa,
for example pb S ab =
0.
@ Flat spacetime: Ghosh PLB(94)
[2+1]; Salesi & Recami
ht/96; Lyakhovich
et al NPB(99)ht/98 [any D,
integer s];
Muslih mp/00 [canonical];
Niederle & Nikitin PRD(01)
[half-integer spin]; Machin ht/01 [1D,
with supersymmetry]; Rivas JPA(03)phy/01 [spinning e];
Salesi IJMPA(02);
Berard et al ht/03 [covariant H];
Rivas JPA(06)ht/05-in
[s = 1/2, symmetry group]; Singh GRG(08)-a0706
[Mathisson-Papapetrou-Dixon equations, perturbation method]; Pol'shin MPLA(09)
[variational principle].
@ Flat spacetime with electromagnetic field:
Bargmann et al PRL(59)
[precession]; Künzle JMP(72)
[and gravitational field]; Pozdeeva JSI(09)-a0708 [neutral
massive spin-1/2 particle, interaction H].
@ Infinite-spin: Edgren et al JHEP(05)ht,
Edgren & Marnelius JHEP(06)
[higher-order Lagrangian];
@ Other special types: Valverde & Pazetti JHEP(06)ht [2+1
massless, supersymmetric variant].
@ In Schwarzschild spacetime: Rietdijk & van
Holten CQG(93);
White et al CQG(00)
[radial
infall]; Burko PRD(04)gq/03;
Bini et al CQG(04)gq,
CQG(05)gq [spin
precession]; Plyatsko CQG(05)gq [ultrarelativistic,
circular orbits]; Turakulov & Safonova MPLA(05)
[s = 1, corrections to geodesics]; Dolan et al PRD(06)gq
[massive spin-1/2,
scattering].
@ In Kerr spacetime: Suzuki & Maeda PRD(98)gq/97;
Hartl PRD(03)gq/02, PRD(03)gq [no
chaos fapp]; Garcia de Andrade gq/03 [Weyl
neutrino solutions]; Bini et al CQG(04)gq [Mathisson-Papapetrou
equations, clock effect]; Gorbatenko & Gorbatenko gq/06;
Singh PRD(08)-a0808 [perturbation
approach].
@ With
cosmological constant: Ali IJTP(02),
Mortazavimanesh
& Mohseni GRG(09)-a0904 [Schwarzschild-de Sitter
spacetime]; Stuchlik & Kovar CQG(06)gq [Kerr-de Sitter].
@ In Vaidya spacetime: Singh PRD(05);
Singh PRD(08)-a0808 [perturbation
approach].
@ In other curved spacetime: Papapetrou PRS(51),
PRS(51);
Garcia de Andrade gq/02 [Gödel
spacetime]; Mohseni PLA(02)gq,
et al CQG(01)gq/03 [gravitational
wave]; Mohseni IJMPD(06)gq/05
[pp-wave and uniform B field]; Bini et al IJMPD(06)gq [massless,
in vacuum algebraically special spacetime]; Obukhov et al a0907 [in the field
of a rotating source].
@ General curved spacetime: Khriplovich & Pomeransky JETP(98)gq/97 [equations
of motion]; Erler gq/99-in;
Pezzaglia gq/99-in/IJTP
[and Clifford algebra]; Turakulov & Safonova MPLA(03)gq/01 [vector];
Chicone et al PLA(05)gq;
Wu CTP(08)gq/06 [gravitomagnetism
and non-geodesic motion]; Blanchet CQG(07)gq/06 [dipolar
particle]; Cianfrani & Montani NCB(07)gq-in;
Khriplovich APPBS(08)-a0801;
Mohseni IJTP(08)-a0710
[Lagrangian]; Muminov a0802,
a0805 [massless
spin-1/2]; Singh & Mobed PRD(09)-a0807,
a0903-GRF [Lorentz-invariance
breaking and muon decay]; Barausse et al PRD-a0907 [Hamiltonian].
@ With torsion: Wanas ASS(97)gq/99 [torsion
correction to geodesic]; Messios IJTP(07);
Poplawski a0910 [classical
Dirac particles cannot be pointlike].
@ And non-commutative
geometry: Das & Ghosh a0907 [Hamiltonian]; Dvoeglazov
a0909-in.
@ Charged, in curved spacetime: Cianfrani & Montani gq/06-in,
Cianfrani et al PLA(07)
[from 5D Kaluza-Klein framework].
> Related topics: see
diffusion; motion
of gravitating
bodies and test
bodies; spin, 2-spinors and 4-spinors,
spinors in field theory.
Classical, Coupled to Gravity > s.a. classical
particles.
@ General references: Wald PRD(72);
Kánnár GRG(94)
[Lagrangian]; Rietdijk TMP(94);
Mashhoon APPS-a0801-in;
Cianfrani & Montani EPL(08)-a0810 [Papapetrou
coupling from Dirac equation].
@ With electromagnetic fields: Lyakhovich et al IJMPA(00)ht [massive];
Tucker PRS(04).
Related Topics > see quantum particles.
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nov
2009